A greenhouse's climate-control system arranges its humidity sensors in a rectangular grid, but the daily log a technician pulls from it never states how many rows or columns the grid actually has -- the raw sensor dump is just written out row by row, and the shape has to be recovered by reading it. You receive the dump exactly as captured: one row of sensor readings per line, with the readings on each line separated by single spaces, and every row containing the same number of readings as every other row. Recover and print the number of rows and the number of columns in the grid. If the dump contains no lines at all, report the grid as having 0 rows and 0 columns.

Input format

The input is zero or more lines, read until end-of-file. Each line, if present, contains one or more integers separated by single spaces -- the readings for one row of the grid. Every non-empty input has the same number of integers on every line.

Output format

Print two integers separated by a single space: the number of rows, then the number of columns.

Constraints

• 0 <= number of rows <= 100
• If there is at least one row, 1 <= number of columns <= 100
• Each reading is an integer with -1000000 <= reading <= 1000000

5 10 15
7 20 3

2 3

(empty)

0 0